Boundary Control of Slender Beams under Deterministic and Stochastic Loads
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Authors
Do, Khac Duc
Date
2017Type
Journal Article
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Do, K.D. 2017. Boundary Control of Slender Beams under Deterministic and Stochastic Loads. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME. 139 (9): Article ID 091012.
Source Title
Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME
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School of Civil and Mechanical Engineering (CME)
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Abstract
This paper first derives equations of motion of extensible and shearable slender beams with large motions under both deterministic and stochastic external loads. Boundary feedback controllers are then proposed to achieve almost surely globally practically asymptotic stability. The control design, well-posedness, and stability analysis are based on a Lyapunov-Type theorem developed for a class of stochastic evolution systems (SESs) in Hilbert space.